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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 998 · 40 sums
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The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.Write (6⁵)⁶ as a single power 6ⁿ. What is n?
  2. 2.Write (2⁶)⁶ as a single power 2ⁿ. What is n?
  3. 3.Write 5⁵ × 5⁵ as a single power 5ⁿ. What is n?
  4. 4.What is the value of 5⁷? =
  5. 5.What is the value of 6⁶? =
  6. 6.What is the value of 2⁸? =
  7. 7.Write 7.1 × 10⁻³ as a decimal. =
  8. 8.Write (7⁹)³ as a single power 7ⁿ. What is n?
  9. 9.Write (5³)³ as a single power 5ⁿ. What is n?
  10. 10.Write 6³ × 6² as a single power 6ⁿ. What is n?
  11. 11.What is the value of 4⁻³ (as a fraction)? =
  12. 12.What is the value of 10⁶ × 10⁻³? =
  13. 13.What is the value of (1/5)⁻¹? =
  14. 14.What is the value of 3¹⁰? =
  15. 15.What is the value of 2⁶? =
  16. 16.Write 8.6 × 10⁻¹ as a decimal. =
  17. 17.What is the value of 3⁸? =
  18. 18.Write 9¹⁵ ÷ 9⁹ as a single power 9ⁿ. What is n?
  19. 19.Write 7¹³ ÷ 7⁷ as a single power 7ⁿ. What is n?
  20. 20.Write 7.2 × 10⁻³ as a decimal. =
  21. 21.1.3 × 10³ =
  22. 22.Write (6⁶)² as a single power 6ⁿ. What is n?
  23. 23.Write 9⁶ × 9⁹ as a single power 9ⁿ. What is n?
  24. 24.6.9 × 10⁴ =
  25. 25.Write (9²)⁴ as a single power 9ⁿ. What is n?
  26. 26.What is the value of 5²? =
  27. 27.Write 6³ × 6⁵ as a single power 6ⁿ. What is n?
  28. 28.Write 1.3 × 10⁻¹ as a decimal. =
  29. 29.Write (6⁴)² as a single power 6ⁿ. What is n?
  30. 30.Write 2⁹ ÷ 2⁷ as a single power 2ⁿ. What is n?
  31. 31.Write 7.7 × 10⁻¹ as a decimal. =
  32. 32.9.4 × 10³ =
  33. 33.1.4 × 10² =
  34. 34.What is the value of (3/4)⁻¹? =
  35. 35.Write (9³)⁶ as a single power 9ⁿ. What is n?
  36. 36.What is the value of 10³ × 10⁻³? =
  37. 37.Write 9.2 × 10⁻³ as a decimal. =
  38. 38.Write (4⁶)⁶ as a single power 4ⁿ. What is n?
  39. 39.What is the value of 2⁻¹ (as a fraction)? =
  40. 40.Write (4³)⁸ as a single power 4ⁿ. What is n?

Answer key

  1. 30
  2. 36
  3. 10
  4. 78125
  5. 46656
  6. 256
  7. 0.0071
  8. 27
  9. 9
  10. 5
  11. 1/64
  12. 1000
  13. 5
  14. 59049
  15. 64
  16. 0.86
  17. 6561
  18. 6
  19. 6
  20. 0.0072
  21. 1300
  22. 12
  23. 15
  24. 69000
  25. 8
  26. 25
  27. 8
  28. 0.13
  29. 8
  30. 2
  31. 0.77
  32. 9400
  33. 140
  34. 4/3
  35. 18
  36. 1
  37. 0.0092
  38. 36
  39. 1/2
  40. 24

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